Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for College Algebra (MindTap Course List)
24E25E26E27E28E29E30EWrite each expression without exponents. (5a)232E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47EWrite each number in scientific notation. 0.0002349E50E51E52E53E54E55ESimplify each expression, if possible. (1000x6)1/357E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91E92E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108E109E110E111E112E113E114E115E116E117E118E119E120E121E122E123E124EFactor each expression completely, if possible. 2xy4zxwy+2zw126E127E128E129E130E131E132E133E134E135E136E137E138E139E140E141E142E143E144E1CTConsider the set-7,-23,0,1,3,10,4. List the numbers in the set that are prime numbers.3CT4CT5CT6CT7CT8CT9CT10CT11CT12CT13CT14CT15CT16CT17CT18CT19CTSimplify each expression. Assume that all variables represent positive numbers, and write all answers without using negative exponents. 36813221CT22CT23CT24CT25CTRationalize the numerator: x-yx+y.Perform each operation. a2+3-2a2-428CT29CT30CT31CT32CT33CT34CT35CT36CT37CT38CTFactor each polynomial completely. 64m3+125n340CT41CT42CT43CT44CT45CT46CTPerform each operation and simplify if possible. Assume that no denominators are 0. x2+x-20x2-16x2-25x-548CT49CT50CTSelf Check 1 Find the restriction on a: 5a+5=3aa2Self Check 2 Find the solution set: 4(x3)=7x3Self Check 3 Find the solution set: 23p3=p6Self Check 4 Solve and classify as an identity, a conditional equation, or a contradiction: a.2(x4)+6x=4(x+1) b.2(x+1)+4=2(x+3)Self Check 5 Solve 35+7x+2=2Self Check 6 Solve C=59(F32) for FSelf Check 7 Solve pq=fq+fp for fFill in the blanks. If a number satisfies an equation, it is called a ______ or a _____ of the equation.Fill in the blanks. If an equation is true for all values of its variable, it is called an __________.3E4EFill in the blanks. An equation of the form ax+b=0 is called a ______ equation.Fill in the blanks. If an equation contains rational expressions, it is called a ____ equation.Fill in the blanks. A conditional linear equation has ____ root.8EPractice Each quantity represents a real number. Find any restrictions on x. 2x+5=1710EPractice Each quantity represents a real number. Find any restrictions on x. 1x=1212EPractice Each quantity represents a real number. Find any restrictions on x. 8x6=5x+214E15E16ESolve each equation, if possible. Classify each one as an identity, a conditional equation, or a contradiction. 2x+5=1518ESolve each equation, if possible. Classify each one as an identity, a conditional equation, or a contradiction. 2(n+2)5=2n20ESolve each equation, if possible. Classify each one as an identity, a conditional equation, or a contradiction. x+72=7.Solve each equation, if possible. Classify each one as an identity, a conditional equation, or a contradiction. x27=14.23E24ESolve each equation, if possible. Classify each one as an identity, a conditional equation, or a contradiction. 3(x3)=6x18226ESolve each equation, if possible. Classify each one as an identity, a conditional equation, or a contradiction. 3b3=128ESolve each equation, if possible. Classify each one as an identity, a conditional equation, or a contradiction. 2x2+5x3=(2x1)(x+3)30E31E32ESolve each equation. If an equation has no solution, so indicate. 5(x2)=2(x+4)34E35E36ESolve each equation. If an equation has no solution, so indicate. 53z8=7.38E39E40ESolve each equation. If an equation has no solution, so indicate. 3x23=2x+73.42ESolve each equation. If an equation has no solution, so indicate. 3x+120=12Solve each equation. If an equation has no solution, so indicate. 2x76+x6=4x+36Solve each equation. If an equation has no solution, so indicate. 3+x3+x+72=4x+146E47E48ESolve each equation. If an equation has no solution, so indicate. (y+2)23=y+2+y2350E51E52ESolve each rational equation. Check for false or extraneous solutions. 4x=25=6xSolve each rational equation. Check for false or extraneous solutions. 3x+12=4xSolve each rational equation. Check for false or extraneous solutions. 2x+1+13=1x+156ESolve each rational equation. Check for false or extraneous solutions. 9t+6t(t+3)=7t+358ESolve each rational equation. Check for false or extraneous solutions. 2(a7)(a+2)=4(a+3)(a+2)60ESolve each rational equation. Check for false or extraneous solutions. 2x+3x2+5x+6+3x2x2+x6=5x2x2462E63E64ESolve each rational equation. Check for false or extraneous solutions. 111n2(3n1)7n2+74n+33=17n+366E67E68ESolve each rational equation. Check for false or extraneous solutions. 3y63y+2y2y+4=84y270E71E72ESolve each formula for the specified variable. f=ma;m.Solve each formula for the specified variable. ax+b=0;x.75ESolve each formula for the specified variable. V=13r2h; h.Solve each formula for the specified variable. V=13r2h; r2.78E79ESolve each formula for the specified variable. Pn=L+sif; f.Solve each formula for the specified variable. F=mMgr2; m.82E83E84ESolve each formula for the specified variable. 1r=1r1+1r2; r86E87E88ESolve each formula for the specified variable. a=(n2)180n; n90E91ESolve each formula for the specified variable. R=11r1+1r2+1r3; r3.93E94E95E96E97E98E99E100E101ECritical Thinking Determine if the statement is true or false. If the statement is false, then correct it and make it true. If y1=1x and y2=1, then y1=y2 when x=2Self-Check A student scores 82, 96, 91, and 92 on four college algebra exams. What score is needed on a fifth exam for the student to earn an average grade of 90?Self Check 2In Example 2, if 168 feet of fencing is available, find the borders width. Now Try Exercise 19. Example 2 A city ordinance requires a man to install a fence around the swimming pool shown in Figure 1-2. He wants the border around the pool to be of uniform width. If h has 154 feet of fencing, find the width of the border.Self Check A man invests 12,000, part at 7 and the rest at 9. If the annual income from these investments is 965, how much was invested at each rate?4SC5SC6SCSelf Check On a reality television show, an officer travelling in a police cruiser at 90 mph pursues Jennifer who has a 3-minute head start. If the officer overtakes Jennifer in 12 minutes, how fast is Jennifer travelling?1E2E3EGetting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercises. Fill in the blanks. The number of units manufactured at which the cost on two machines is equal is called the ____________.Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercises. Fill in the blanks. Distance travelled is the product of the _______ and the __________.Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercises. Fill in the blanks. 5 of 30 liters is _______ liters.Practice Solve each problem. Algebra scores Dylan has completed all assignments in college algebra except for taking his comprehensive final exam. His current test scores are shown in the table. Test 1 Test 2 Test 3 Test 4 Online Homework Final Exam 60 78 80 90 88 ? If his online homework average for the semester is weighted as a test grade and his final exam grade is weighted as two test grades, what must he score on the final exam to have an 80 average in the course?Practice Solve each problem. Psychology scores Mandy has completed all assignments in psychology except for taking her comprehensive final exam. Her current scores are shown in the table. Test 1 Test 2 Test 3 Test 4 Test 5 Final Exam 70 88 93 85 88 ? If the final exam score is weighted as a test grade and also replaces her lowest test score, what must she make on the final exam to have a 90 average in the course?Practice Solve each problem. Test scores Tate scored 5 points on his midterm and 13 points higher on his final than he did on his first exam. If his mean average score was 90, what was his score on the first exam?10EPractice Solve each problem. Teacher certification On the Illinois certification test for teachers specializing in learning disabilities, a teacher earned the scores shown in the accompanying table. What was the teachers score in program development? Human development with special needs 82 Assessment 90 Program development and instruction ? Professional knowledge and legal issues 78 AVERAGE SCORE 8612EPractice Solve each problem. Replacing locks A locksmith at Pop-A-Lock charges 40 plus 28 for each lock installed. How many locks can be replaced for 236?